Question

Place the steps for finding f -1(x) f(x)=2x+5

Answer 1

(See Picture) f(x) = 2x + 5 Place the steps for finding f -1(x) in the correct order.

Explanation:

Answer 2

`f^(-1)(x) = (x-5)/(2)`

Explanation:

`f(x) = 2x+5`

Step 1) Replace y = f(x)

`y = 2x+5`

Step 2) Exchange x and y

`x =2y+5`

Step 3) Solve for y

`x =2y+5`

Subtracting both sides by -5

`x - 5= 2y`

`2y = x-5`

Dividing both sides by 2

`y = (x-5)/(2)`

Step 4) Replace
`y = f^(-1)(x)`

`f^(-1)(x) = (x-5)/(2)`